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Finding the Fourth Proportional to 152,005.70, 212,963.50 and 152,005.70

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Solution

The fourth proportional to 152,005.70, 212,963.50 and 152,005.70 is: 212,963.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,005.70 : 212,963.50 = 152,005.70 : x
  2. Step 2: Convert to fraction form
    152,005.70/212,963.50 = 152,005.70/x
  3. Step 3: Cross multiply
    152,005.70x = 212,963.50 × 152,005.70
  4. Step 4: Simplify right side
    152,005.70x = 32,371,665,891.95
  5. Step 5: Solve for x
    x = 32,371,665,891.95/152,005.70
  6. Step 6: Final answer
    x = 212,963.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.